LCM of 814, 781, 592, 497, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 781, 592, 497, 858 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 814, 781, 592, 497, 858. So, keep reading to learn more.
Given numbers are 814,781,592,497,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,781,592,497,858 is 126222096.
Find LCM of 814,781,592,497,858 with Prime Factorization
| 2 | 814, 781, 592, 497, 858 |
| 11 | 407, 781, 296, 497, 429 |
| 37 | 37, 71, 296, 497, 39 |
| 71 | 1, 71, 8, 497, 39 |
| 1, 1, 8, 7, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 37 x 71 x 1 x 1 x 8 x 7 x 39 = 126222096
Therefore, the lowest common multiple of 814,781,592,497,858 is 126222096.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
814 x 781 x 592 x 497 x 858 = 160487355956928
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
814 : 1, 2, 11, 22, 37, 74, 407, 814
781 : 1, 11, 71, 781
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
497 : 1, 7, 71, 497
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,781,592,497,858, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
781:11x 71
592:2x 2x 2x 2x 37
497:7x 71
858:2x 3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 11x 11x 37x 71 = 1271468
Therefore, the value for common factors is 1271468.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 160487355956928/(1x1271468)
LCM = 160487355956928/1271468
LCM = 126222096
Thus, we can understand that the LCM of 814,781,592,497,858 is 126222096.
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FAQs on LCM of 814, 781, 592, 497, 858
1. What is the LCM of 814, 781, 592, 497, 858?
Answer: LCM of 814, 781, 592, 497, 858 is 126222096.
2. How to calculate the LCM of 814, 781, 592, 497, 858?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 814, 781, 592, 497, 858.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.